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Finding the Third Proportional to 9,061,823.25 and 13,724,349.75

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Solution

The third proportional to 9,061,823.25 and 13,724,349.75 is: 20,785,858.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,061,823.25 : 13,724,349.75 = 13,724,349.75 : x
  2. Step 2: Convert to fraction form
    9,061,823.25/13,724,349.75 = 13,724,349.75/x
  3. Step 3: Cross multiply
    9,061,823.25x = 13,724,349.75 × 13,724,349.75
  4. Step 4: Simplify right side
    9,061,823.25x = 188,357,776,060,325.06
  5. Step 5: Solve for x
    x = 188,357,776,060,325.06/9,061,823.25
  6. Step 6: Final answer
    x = 20,785,858.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.